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1299027783001 = 13273212012
BaseRepresentation
bin10010111001110100000…
…101101110110101011001
311121012000110221201020011
4102321310011232311121
5132240402103024001
62432433133401521
7162565055653444
oct22716405566531
94535013851204
101299027783001
11460a07355173
1218b9159392a1
1395661867100
1446c323d065b
1523bcd8d0d51
hex12e7416ed59

1299027783001 has 27 divisors (see below), whose sum is σ = 1427361022647. Its totient is φ = 1181691763200.

The previous prime is 1299027782989. The next prime is 1299027783013. The reversal of 1299027783001 is 1003877209921.

The square root of 1299027783001 is 1139749.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1299027782989) and next prime (1299027783013).

It can be written as a sum of positive squares in 13 ways, for example, as 1198475373001 + 100552410000 = 1094749^2 + 317100^2 .

It is not a de Polignac number, because 1299027783001 - 29 = 1299027782489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1299027783101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1081621201 + ... + 1081622401.

It is an arithmetic number, because the mean of its divisors is an integer number (52865223061).

Almost surely, 21299027783001 is an apocalyptic number.

1299027783001 is the 1139749-th square number.

1299027783001 is the 569875-th centered octagonal number.

It is an amenable number.

1299027783001 is a deficient number, since it is larger than the sum of its proper divisors (128333239646).

1299027783001 is an frugal number, since it uses more digits than its factorization.

1299027783001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

Multiplying 1299027783001 by its sum of digits (49), we get a square (63652361367049 = 79782432).

The spelling of 1299027783001 in words is "one trillion, two hundred ninety-nine billion, twenty-seven million, seven hundred eighty-three thousand, one".

Divisors: 1 13 73 169 949 1201 5329 12337 15613 69277 87673 202969 900601 1139749 1442401 6400129 14816737 18751213 83201677 105295273 243765769 1081621801 1368838549 7686554929 17794901137 99925214077 1299027783001